Evolution problems in spaces of probability measures Export

@article{citeulike:6076332, abstract = {This is a short survey paper on the application of Monge's theory of optimal mass transportation to evolution problems of a gradient type, in the case when the natural state space is the space of probability measures. This occurs for instance for Fokker–Planck equations, and optimal mass transportation methods provide, in this setting, very general existence and stability results.}, author = {Ambrosio, Luigi}, citeulike-article-id = {6076332}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.physd.2009.01.012}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0167278909000335}, day = {01}, doi = {10.1016/j.physd.2009.01.012}, issn = {01672789}, journal = {Physica D: Nonlinear Phenomena}, keywords = {stochastic-discrete-damage}, month = {February}, posted-at = {2009-11-05 19:47:00}, priority = {2}, title = {Evolution problems in spaces of probability measures}, url = {http://dx.doi.org/10.1016/j.physd.2009.01.012}, year = {2009} }

TY - JOUR ID - citeulike:6076332 L3 - citeulike-article-id:6076332 N2 - This is a short survey paper on the application of Monge’s theory of optimal mass transportation to evolution problems of a gradient type, in the case when the natural state space is the space of probability measures. This occurs for instance for Fokker–Planck equations, and optimal mass transportation methods provide, in this setting, very general existence and stability results. JF - Physica D: Nonlinear Phenomena SN - 01672789 TI - Evolution problems in spaces of probability measures KW - stochastic-discrete-damage AU - Ambrosio, Luigi PY - 2009/02/01/ UR - http://dx.doi.org/10.1016/j.physd.2009.01.012 ER -